code: def rescale_polygons(
      polygons: Union[ArrayLike, Sequence[ArrayLike]],
      scale_factor: Tuple[int, int],
      mode: str = "mul",
  ) -> Union[ArrayLike, Sequence[np.ndarray]]:
      """Rescale polygons according to scale_factor.
  
      The behavior is different depending on the mode. When mode is 'mul', the
      coordinates will be multiplied by scale_factor, which is usually used in
      preprocessing transforms such as :func:`Resize`.
      The coordinates will be divided by scale_factor if mode is 'div'. It can be
      used in postprocessors to recover the polygon in the original
      image size.
  
      Args:
          polygons (list[ArrayLike] or ArrayLike): A list of polygons, each
              written in [x1, y1, x2, y2, ...] and in any form can be converted
              to an 1-D numpy array. E.g. list[list[float]],
              list[np.ndarray], or list[torch.Tensor].
          scale_factor (tuple(int, int)): (w_scale, h_scale).
          model (str): Rescale mode. Can be 'mul' or 'div'. Defaults to 'mul'.
  
      Returns:
          list[np.ndarray] or np.ndarray: Rescaled polygons. The type of the
          return value depends on the type of the input polygons.
      """
      results = []
      for polygon in polygons:
          results.append(rescale_polygon(polygon, scale_factor, mode))
      if isinstance(polygons, np.ndarray):
          results = np.array(results)
      return results
  
imports: import math
  import operator
  from functools import reduce
  from typing import List, Optional, Sequence, Tuple, Union
  import numpy
  import pyclipper
  import shapely
  from mmengine.utils import is_list_of
  from shapely.geometry import MultiPolygon, Polygon
  from mmocr.utils import bbox2poly, valid_boundary
  from mmocr.utils.check_argument import is_2dlist
  from mmocr.utils.typing_utils import ArrayLike
label_desc: Use image node_id 2 for calling a global function with example usage: rescale_polygons(polygons, scale_factor, mode) and returns: results